2. dy dx

Q: Determine whether the following series converges or diverges: 8 /n(n+ 1)(n + 9) Input C for…

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A: Find the derivative

Q: 5. Find the integral | 2(x* - x°) (x5 – 1)®dx x In(x + 2) dx а. d. | In x? dx | 2xe** dx b. е. 1 2x…

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Q: dy Find for dx 2. y = x(e*) = x(e*)

A: Given: y=xex   ....(1)   As we know that; The Product rule; f·g'=f'·g+f·g' And ddxlnx=1xddxex=ex

Q: 2) Use polar coordinates to evaluate ff, sin OdA with R being the region in the first quadrant…

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Q: 3.5n 7n+1 n=1

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Q: xdx 1. Find the integral (x+2)3 a. -l +c b. l x+1 а. L(x+2)²! x+1 + C L(x+2)2] x+1 + C |(x+2)3_ с.…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where o sts 1. (y – x) dx +…

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Q: Jse the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: dy = xe with y(0) = 4 dx

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Q: The following telescoping series 00 1 Σ- en+1 – en+2 n=1 converges to Ve the above none of them…

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A: This is a problem related to differential equation and exponential function. Based on the general…

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Q: Given x – 3 x 3 - What is lim g(x) ? O 1 O -6 O –1

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Q: Determine the nature of convergence of the following improper integrals +00 1 X A = dx 1+x4 x 2 dx…

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Q: Teresa had some Girl Scout Cookies; she gave 2 of them to her best friend, and now she only has 4…

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Q: D. 32 В. -32 4. What is f y'(t)dt? A. - 16t2 - 100 t + C 16t2 - 100 t C. – 16t2 + 100 t + C D. -…

A: According to company rule, we can answer only First question and rest can be reposted.

Q: Using appropriate substitution 1 dx V9x² – 36x + 37 Is equal to

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Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 9x from (9, 9) to (0,0). NOTE: Enter…

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Q: 5. Evaluate the indefinite integral sin2x 1+ cos?x

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 10 –…

A: Because the parabola is symmetric to the y-axis, the rectangle must also be symmetric to the…

Q: Given the function: x² –4 if x + 2 f(æ) = { k, 2-x if x = 2 What should be the value of k so that…

A: We have to find value of K

Q: 26. At 2:00PM. The temperature of a tank of water is 200°F. at 2:30PM its temperature is 160 °F.…

A: Given: Temperature of water T∘=200°F at 2:00PM             Temperature of water  T=160°F at 2:30PM…

Q: 25x?y" + 25xy' + y = 0

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx 2. 4-x-

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

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Q: 4y" – 4y' + y = 16e*/2

A: Find your answer below

Q: The area enclosed by the curves y = x + 2 and x is . y = 7 + 5x %3D - .... 1) 36 2) 120 3) 34 4) 118…

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Q: 1. By definition, which of the following formula gives the derivative of a function at any value of…

A: A detailed solution is given below

Q: Find the equation of the line tangent to the function f(x) = (x – 1)3 + 2 at x = 1. O y = 2 O y – 2…

A: Given query is to find the equation of the tangent at x = 1.

Q: A box with a square base and open top must have a volume of 415292 cm. We wish to find the…

A: topic - application of derivatives

Q: Find the magnitude of the given vector. (-3, 6, 2)

A: Given,            The vector is <-3,6,2>.To find : The magnitude of the given vector.We know…

Q: #1 Evaluate F• dr. F(x, у) — хі + уј C: r(t) = (9t + 2)i + tj, 0sts1

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Q: Let 7 (t) = %3D Find F'(t) F(t) - « Question Help: D Video Add Work Submit Question

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A: topic - law of sines

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec2(x) dy = 0

A: This question is related to differential equations, we will solve it using given using given…

Q: Find curl (3z i + 4x j+ 7y k). curl (3z i+ 4x j+ 7y k) = ( i )i + ( i j+ ( )k

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Q: Find T(t) and N(t) at the given point. r(t) = 8 cos(t)i + 8 sin(t)j; t= 3 T() N(G) .3

A: To find the vectors T(t) and N(t)  for the given r(t) at point t=pi/3.

Q: Find the general solution of y’= y sec x.       y = c ( sec x – tan x ) y = c ( sec x + tan x ) y =…

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Q: r=5 sin  18t  i−5 cos  18t  jr=5⁢ sin⁢  18⁢t⁢  i-5⁢ cos⁢ ⁢ 18⁢t⁢  ⁢j It is a circle of radius 1818…

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Q: Describe the graph of the equation. r = (7 – 21) i+ 101j O Itis a line in 2-space through the point…

A: Equation

Q: 2. Use the definition of integral to evaluate the integral , (x3 + 1)dx. (hint: J f(x)dx = lim…

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Q: [y sxy dy is equal to -y cony - J cony A (B у сoly - coty dy Scory dy C у coly + -y coty + J coty D…

A: Solution is given below..

Q: Which integral corresponds to the area of the shaded region? The parabola is y = x? –1 while the…

A: Given query is to find the the integral for the area of shaded region.

Q: y" – 2y' + y = Ita² 1+x?

A: We use the method of variation of parameters

Q: Using Long (Euclidean) division then decomposition into partial fractions x4 – 4x2 – x – 3 | dx х2 —…

A: We have to find value of given indefinite Integration.